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arXiv · 1005.0163

Optimal quadrature formulas of closed type in the space $L_2^{(m)}(0,1)$

Kh. M. Shadimetov
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Abstract

It is discussed the problem on construction of optimal quadrature formulas in the sense of Sard in the space $L_2^{(m)}(0,1)$, when the nodes of quadrature formulas are equally spaced. Here the representations of optimal coefficients for any natural numbers $m$ and $N$ are found.

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Kh. M. Shadimetov. 2010-05-02. Optimal quadrature formulas of closed type in the space $L_2^{(m)}(0,1)$. https://arxiv.org/abs/1005.0163

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